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Course ID:

MATH 2300H. 4 hours.

Course Title:

Differential Calculus (Honors)

CourseDescription:

Honors differential calculus and applications, including
optimization and related rate problems, L'Hôpital's rule.
Introduction to the integral, area between curves,
antidifferentiation, and the fundamental theorem of calculus.

Oasis Title:

DIFF CALC HONORS

Duplicate Credit:

Not open to students with credit in MATH 2200

Prerequisite:

MATH 1113 and permission of Honors

Semester CourseOffered:

Offered fall semester every year.

Grading System:

A-F (Traditional)

Course Objectives:

In this course the student will be expected to gain computational skill with
calculus concepts and do a significant amount of problem solving. The clear
and careful exposition of word problems will be quite important. The honors student
in this class will be expected to tackle and solve somewhat more
challenging problems than appear in the non-honors equivalent, MATH 2200.

Topical Outline:

1. Overview of calculus.
2. The limit concept, properties, continuity.
3. The derivative: the derivative, rules, derivatives of
trigonometric, logarithmic,
and exponential functions.
4. Applications of the derivative: maximum/minimum problems,
related rates,
the derivative as best linear approximation.
5. Mean Value Theorem and applications, interpretation of first
and second
derivatives, curve sketching, L'Hôpital's Rule.
6. The integral, area under curves, Fundamental Theorem of
Calculus, and
applications.